A = 2 x 2
-1 0
0 -1
find n that
A^n * B = C
B = 2 x 1
0
1
C = 2 x 1
1
0
answer is 6, but I don't know why
find A^2014
the answer is
0 1
-1 0
but I don't know why
Beats me.
A to any even power is the identity matrix
1 0
0 1
for exaample
A^2
-1 0
0 -1
times itself
-1 0
0 -1
is
1 0
0 1
that times A will be A
that times A will be identity matrix again